Results 41 to 50 of about 2,072,232 (247)

Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below [PDF]

, 2012
This paper is devoted to a deeper understanding of the heat flow and to the refinement of calculus tools on metric measure spaces (X,d,m). Our main results are: - A general study of the relations between the Hopf-Lax semigroup and Hamilton-Jacobi ...
A. Grigor’yan, C. Dellacherie, C. Villani, D. Feyel, Giuseppe Savaré, H. Brézis, J. Cheeger, J. Heinonen, J. Heinonen, J. Lott, J. Lott, J. Lott, K.-T. Sturm, K.-T. Sturm, L. Ambrosio, L. Ambrosio, L. Ambrosio, L. Schwartz, Luigi Ambrosio, M. Agueh, M. Erbar, N. Gigli, N. Shanmugalingam, Nicola Gigli, P. Hajłasz, R. Jordan, S. Fang, S. Lisini, S.-I. Ohta, S.-I. Ohta, T. Rajala, T. Rajala, V.I. Bogachev, V.I. Bogachev   +33 more
core   +2 more sources

Cone Lattices of Upper Semicontinuous Functions [PDF]

Proceedings of the American Mathematical Society, 1982
Let X X be a compact metric space. A well-known theorem of M. H. Stone states that if Ω \Omega is a vector lattice of continuous functions on X X that separates points and contains a nonzero constant function, then the uniform closure of Ω \Omega is C ...
openaire   +2 more sources

Value Functions for Bolza Problems with Discontinuous Lagrangians and Hamilton-Jacobi Inequalities [PDF]

, 2000
We investigate the value function of the Bolza problem of the Calculus of Variations $$ V (t,x)=\inf \{\int_{0}^{t} L (y(s),y'(s))ds + \phi(y(t)) : y \in W^{1,1} (0,t; R^n) ; y(0)=x \}, $$ with a lower semicontinuous Lagrangian $L$ and a final cost ...
Amar, Ambrosio, Aubin, Barron, Bebernes, Crandall, Dal Maso, Frankowska, Frankowska, Frankowska, Frankowska, Gianni Dal Maso, Guseinov, Hélène Frankowska, Ioffe, Olech, Rockafellar, Subbotin   +17 more
core   +2 more sources

Long-time dynamics and upper-semicontinuity of attractors for a porous-elastic system with nonlinear localized damping

Electronic Journal of Differential Equations
In this article we consider a one-dimensional porous-elastic system  with nonlinear localized damping acting in an arbitrarily small region  of the interval under consideration.
Mauro L. Santos, Mirelson M. Freitas, R. Q. Caljaro   +2 more
semanticscholar   +1 more source

On the upper semicontinuity of a quasiconcave functional [PDF]

Journal of Functional Analysis, 2019
In the recent paper \cite{SER}, the second author proved a divergence-quasiconcavity inequality for the following functional $ \mathbb{D}(A)=\int_{\mathbb{T}^n} det(A(x))^{\frac{1}{n-1}}\,dx$ defined on the space of $p$-summable positive definite ...
Luigi De Rosa, D. Serre, Riccardo Tione
semanticscholar   +1 more source

Upper semicontinuous utilities for all upper semicontinuous total preorders

Mathematical Social Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bosi G., Sbaiz G.
openaire   +3 more sources

Upper Semicontinuous Decompositions of the n-Sphere [PDF]

Proceedings of the American Mathematical Society, 1962
We consider conditions under which an upper semicontinuous decomposition has the decomposition space which is a topological nsphere. A special emphasis is placed on the case in which the decomposition has only a countable number of nondegenerate elements.
openaire   +2 more sources

Attractors of multivalued semiflows generated by differential inclusions and their approximations

Abstract and Applied Analysis, 2000
We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions.
Alexei V. Kapustian, José Valero
doaj   +1 more source

The boundedness and upper semicontinuity of the pullback attractors for a 2D micropolar fluid flows with delay

Electronic Research Archive, 2020
In this paper, two properties of the pullback attractor for a 2D non-autonomous micropolar fluid flows with delay on unbounded domains are investigated. First, we establish the \begin{document}$ H^1 $\end{document} -boundedness of the pullback attractor.
Wenlong Sun
semanticscholar   +1 more source

Separating sets by upper semicontinuous and Darboux upper semicontinuous functions

Topology and its Applications, 2013
Abstract In this paper we characterize the pairs ( A 0 , A 1 ) and ( A − , A + ) of disjoint sets which can be separated by an upper semicontinuous function and by a Darboux upper semicontinuous function.
openaire   +1 more source